Home
Class 10
MATHS
If 2sin 2 theta =sqrt(3) " then " theta=...

If `2sin 2 theta =sqrt(3) " then " theta=?`

A

`30^(@)`

B

`45^(@)`

C

`60^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
`2sin2theta=sqrt(3)rArr sin2 theta=(sqrt(3))/(2)=sin60^(@)rArr 2 theta=60^(@)rArrtheta=30^(@).`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC IDENTITIES

    RS AGGARWAL|Exercise Exercise 13C|40 Videos

  • TRIANGLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • TRIGONOMETRIC RATIOS

    RS AGGARWAL|Exercise Exercise 10|35 Videos

Similar Questions

Explore conceptually related problems

If 2 sin 2 theta = sqrt"" 3 , then find the value of theta

Sin theta = sqrt3 / 2

If 2sin2 theta=sqrt(3) ,then the value of theta is :

If sin theta - cos theta = (sqrt(3)-1)/(2), " then " theta equals

If sin theta=(sqrt(3))/(2)" then " ("cosec"theta+cot theta)=?

If sin theta= sqrt 3 cos theta, 0^@< theta< 90^@ , then the value of 2 sin^2 theta+ sec^2 theta+ sin theta sec theta+ cosec theta is :

If cos theta+sin theta=sqrt(2), then cos theta-sin theta=

If cos theta+sqrt(3)sin theta=2, then theta=

RS AGGARWAL-TRIGONOMETRIC IDENTITIES-Multiple Choice Questions (Mcq)
  1. Without using trigonometric tables , evaluate the following : (co...

    Text Solution

    |

  2. Choose the correct answer in each of the following questions: (cos38...

    Text Solution

    |

  3. If 2sin 2 theta =sqrt(3) " then " theta=?

    Text Solution

    |

  4. Choose the correct answer in each of the following questions: If 2co...

    Text Solution

    |

  5. Choose the correct answer in each of the following questions: If sqr...

    Text Solution

    |

  6. If tanx= 3cotx " then " x=?

    Text Solution

    |

  7. Choose the correct answer in each of the following questions: If x t...

    Text Solution

    |

  8. Choose the correct answer in each of the following questions: If tan^...

    Text Solution

    |

  9. Choose the correct answer in each of the following questions: sec^(2...

    Text Solution

    |

  10. Choose the correct answer in each of the following questions: (cos0^...

    Text Solution

    |

  11. Choose the correct answer in each of the following questions: sin^(2...

    Text Solution

    |

  12. Choose the correct answer in each of the following questions: 3cos^(...

    Text Solution

    |

  13. Choose the correct answer in each of the following questions: cos^(2...

    Text Solution

    |

  14. Choose the correct answer in each of the following questions: If ...

    Text Solution

    |

  15. Choose the correct answer in each of the following questions: If tan...

    Text Solution

    |

  16. Choose the correct answer in each of the following questions: If sin...

    Text Solution

    |

  17. Choose the correct answer in each of the following questions: If tan...

    Text Solution

    |

  18. Choose the correct answer in each of the following questions: If sec...

    Text Solution

    |

  19. Choose the correct answer in each of the following questions: If sin...

    Text Solution

    |

  20. Choose the correct answer in each of the following questions: If co...

    Text Solution

    |